There probably is a way to hook up the laptop to a newer PC and then scan the drive, but I have no experience with that so someone else will have to help you with it. But with 32 MB of RAM you might want to rethink what you are wanting to do with the laptop. Both running an on access part of an AV and the on demand scan is going to be too resource intensive for that amount of RAM. In fact the On Access should be less so, but as you've discovered, there are no longer any freeware AV's, except Avast, compatible with ME anymore. On the bright side, very little malware is compatible with ME now either or also so resource intensive that it just won't be able to run. For example, root kits won't run on the FAT32 file system--the malware that they hide might, but not the rootkits.
But the way Flash is used on so many websites now, I think you will have problems even surfing the web. If that is what you really want to do you really need to look into getting more RAM. Even tho there are fewer threats to ME out there now, they aren't eliminated altogether so it isn't advisable to go surfing around on the internet without the protection of an on access scanner. While it is true that RAM is fairly cheap now, that is for modern hardware; unfortunately older technology RAM could be expensive and hard to find. You can go to Crucial's site and let it scan your system--if it can find what is compatible with your system it will show you and if they have any RAM that you can use.http://www.crucial.com/
However, I tried to look up your system, but CP 233ST
isn't listed. If no joy at Crucial, you can try Kingston and Corsair websites--I believe they also have online apps to find out what kind of RAM you might need and if they have any.
An alternative is to keep the laptop off the internet. You have very little to no risk of infection if you are not connected to the web, and thus no need for AV scanners that you don't have the resources to run. It would make a fairly nice word processor or perhaps a photo album.
Another alternative, which is least desirable in my opinion, is to periodically check your system with small apps focused on startups, such as HijackThis and AutoRuns. Malware has to set itself to autostart, else it would always be terminated when you reboot your system. That's it weakness--malicious files can be present on your system but won't harm you if they aren't running. The big drawback to this, and why I don't recommend it, is you must have a large amount of knowledge about startups and the registry, along with the tricks malware uses to make it hard to determine what is and isn't malicious, else you could cause more problems than you solve. To see what's involved with this--and be sure to read the disclaimer carefully--see BC's tutorial on HijackThis: http://www.bleepingcomputer.com/tutorials/how-to-use-hijackthis/
If you want, I can look at your HijackThis log for you--if you want to clean up what is on there now and then not use the internet til you get RAM/Protection. The one file that ClamWin found is in ME's System Restore and is probably an inactive leftover from a previous infection that has been there for ages. To get rid of it, you can disable System Restore which will delete all restore points--re-enabling will create a new clean one. Instructions are here:Managing Windows Millenium System Restore.
I don't normally recommend doing this until after your system has been cleaned. The rule of thumb is that an infected Restore Point is better than none if malware removal goes bad. But considering your system specs, you might want to disable it and leave it disabled. Your system was designed to run Windows 95, which doesn't have a System Restore (SR). SR requires a fair chunk of hard drive real estate that 95 didn't need so your small hard drive capacity could also be a problem. If your hard drive is low on free space it could well explain why the scan is taking so long--scanners use temp folders to extract compressed files, create quarantined areas and so on. So if you want to tinker around with this old system with ME, fix problems without using System Restore until you get a larger hard drive. If you had XP, you could reduce the space SR uses, but I don't think you can do that with ME.
To find out how much of your hard drive is being used, go to My Compter, right click on the hard drive icon and select properties. Let me know how much is being used and if you want me to look at your HJT log.